EM-WaveHoltz: How to find Time-Harmonic Solutions by Time-Domain Solvers and Positive Definite Systems

Abstract

We present EM-WaveHoltz, a new method for computing frequency domain solutions to Maxwell's equations in linear complex media. EM-WaveHoltz is based on a fixed point iteration which is applied to the initial data of a time domain solution. The fixed point iteration converges to a single time-harmonic component and can be formulated as a symmetric positive definite linear system of equations. The method is agnostic to the material model and to the time-domain solver used.